Furthermore, physics of BSM may leave affect in low-energy precise measurements via possible deviations between the standard model (SM) and experimental evidences. Some of these deviations include the LHCb and FermiLab results challenging lepton universality and the long standing discrepancy of the muon anomalous magnetic moment \(a_{\mu }=(g_{\mu }-2)/2\)  which was recently confirmed by FermiLab experiment (\(3.3~\sigma \) )[1]}. In combination with the earlier measurement
at the Brookhaven National Laboratory, this now amounts to a \(4.2~\sigma \)  deviation from the SM prediction [2]}, which may be expressed. This result leaves an open window to new particles which can contribute to muon \(g-2\)  through direct coupling to the muon. A list of models which related with DM candidates and \((g-2)_{\mu }\)  anomaly can be found in[3]}. Also it should be noted that if we compare to the latest QCD lattice calculations this decrease to about \(1.4~\sigma \)[4]}. In order to clarify the origin of this difference, a new experiment
aiming to measure the contribution of hadronic corrections
is being prepared at CERN [5]}.
